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Finding the Fourth Proportional to 543.67, 814.52 and 251.42

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Solution

The fourth proportional to 543.67, 814.52 and 251.42 is: 376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.67 : 814.52 = 251.42 : x
  2. Step 2: Convert to fraction form
    543.67/814.52 = 251.42/x
  3. Step 3: Cross multiply
    543.67x = 814.52 × 251.42
  4. Step 4: Simplify right side
    543.67x = 204,783.17
  5. Step 5: Solve for x
    x = 204,783.17/543.67
  6. Step 6: Final answer
    x = 376.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.